Cody and Aria are painting a mural. They decide they want part of the mural to have a purple background. Aria uses 7 tbsp. of blue to 2 tbsp. of red to make her purple paint. Cody is planning to use more and uses 21 tbsp. of blue to 6 tbsp. of red. Are their ratios of purple mixture equivalent to one another's?(1 point)
Responses
No, Cody’s has more red.
No, Cody’s has more red.
No, Aria’s has more blue.
No, Aria’s has more blue.
Yes, they are equivalent.
Yes, they are equivalent.
No, Cody’s has more blue.
No, Cody’s has more blue.
No, Cody's ratio of purple mixture does not have more blue.
To determine if Cody's and Aria's ratios of purple mixture are equivalent, we need to compare the ratios of blue to red used by each of them.
Aria used 7 tbsp. of blue to 2 tbsp. of red, so her ratio of blue to red is 7:2.
Cody used 21 tbsp. of blue to 6 tbsp. of red, so his ratio of blue to red is 21:6, which can be simplified to 7:2.
Since both Aria's and Cody's ratios of blue to red are 7:2, we can conclude that their ratios of purple mixture are equivalent. Therefore, the correct response is:
Yes, they are equivalent.